The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.
Solution:
Let ABCD be a quadrilateral in which ∠A:∠B:∠C:∠D=3:5:9:13 Sum of the ratios=3+5+9+13=30 Also ,∠A+∠B+∠C+∠D=360o Sum of all the angles of quadrilateral is 360o. ∴∠A=3/30 ×360o=36o ∠B=5/30 ×360o=60o ∠C=9/30 ×360o=108o ∠C=13/30 ×360o=156o